Solve 1/7*(2^2)*(-2)*(16^3:8^3)

$$\frac { 1 } { 7 } \cdot ( 2 ^ { 2 } ) \cdot ( - 2 ) \cdot ( 16 ^ { 3 } : 8 ^ { 3 } )$$

Evaluate

$$-\frac{64}{7}\approx -9.142857143$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{1}{7}\times 4\left(-2\right)\times \frac{16^{3}}{8^{3}}$$

Multiply \frac{1}{7} and 4 to get \frac{4}{7}.

$$\frac{4}{7}\left(-2\right)\times \frac{16^{3}}{8^{3}}$$

Express \frac{4}{7}\left(-2\right) as a single fraction.

$$\frac{4\left(-2\right)}{7}\times \frac{16^{3}}{8^{3}}$$

Multiply 4 and -2 to get -8.

$$\frac{-8}{7}\times \frac{16^{3}}{8^{3}}$$

Fraction \frac{-8}{7} can be rewritten as -\frac{8}{7} by extracting the negative sign.

$$-\frac{8}{7}\times \frac{16^{3}}{8^{3}}$$

Calculate 16 to the power of 3 and get 4096.

$$-\frac{8}{7}\times \frac{4096}{8^{3}}$$

Calculate 8 to the power of 3 and get 512.

$$-\frac{8}{7}\times \frac{4096}{512}$$

Divide 4096 by 512 to get 8.

$$-\frac{8}{7}\times 8$$

Express -\frac{8}{7}\times 8 as a single fraction.

$$\frac{-8\times 8}{7}$$

Multiply -8 and 8 to get -64.

$$\frac{-64}{7}$$

Fraction \frac{-64}{7} can be rewritten as -\frac{64}{7} by extracting the negative sign.

$$-\frac{64}{7}$$

Factor

$$-\frac{64}{7} = -9\frac{1}{7} = -9.142857142857142$$